Finding the Third Proportional to 550,413 and 842,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   550,413 : 842,029.50 = 842,029.50 : x
2. Step 2: Convert to fraction form
   550,413/842,029.50 = 842,029.50/x
3. Step 3: Cross multiply
   550,413x = 842,029.50 × 842,029.50
4. Step 4: Simplify right side
   550,413x = 709,013,678,870.25
5. Step 5: Solve for x
   x = 709,013,678,870.25/550,413
6. Step 6: Final answer
   x = 1,288,148.50